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Finding the Fourth Proportional to 362,264.78, 542,125.86 and 291,012.32

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Solution

The fourth proportional to 362,264.78, 542,125.86 and 291,012.32 is: 435,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,264.78 : 542,125.86 = 291,012.32 : x
  2. Step 2: Convert to fraction form
    362,264.78/542,125.86 = 291,012.32/x
  3. Step 3: Cross multiply
    362,264.78x = 542,125.86 × 291,012.32
  4. Step 4: Simplify right side
    362,264.78x = 157,765,304,250.60
  5. Step 5: Solve for x
    x = 157,765,304,250.60/362,264.78
  6. Step 6: Final answer
    x = 435,497.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.